DETROIT — Officers have begun pulling over and questioning drivers in four Michigan counties in the hopes of catching a man suspected of shooting at other motorists over the past two weeks, including one driver who was wounded over the weekend.

Officers are searching for anything out of the norm during their traffic stops in Oakland, Livingston, Ingham, and Shiawassee counties, where the suspect is believed to have fired on two dozen vehicles, said State Police Lieutenant Mike Shaw.

Witnesses have described the suspect’s vehicle as resembling a dark 1998 Oldsmobile Alero or a 1998 Toyota Camry.

‘‘We’ve had 22 victims that have tried to identify a vehicle traveling at 60 to 70 miles per hour,’’ he said. ‘‘We’re looking for more suspicious activities that go with four-door vehicles and those darker in color — somebody that’s pulled over on the side of a road or coming out of a woods line . . . . Or if you see the same car driving around with no sense of purpose.”

More than 100 local police, sheriff’s deputies, state troopers, and federal agents are involved in the investigation.